Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224dk |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-488117230272 = -1 · 26 · 33 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -7 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,33614] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:183:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
5.0209701531014 |
L(r)(E,1)/r! |
Ω |
0.7404668876707 |
Real period |
R |
3.390408292865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224k1 7056bh1 28224dk2 28224cx1 |
Quadratic twists by: -4 8 -3 -7 |